Mutation count created by lexicographic extension

Determine how many mutations a lexicographic extension of an oriented matroid creates.

Background

The paper proves that lexicographic extension creates at least one mutation and analyzes mutations that are created, destroyed, shifted, or preserved. It does not determine the general number of newly created mutations.

References

How many mutations creates a lexicographic extension?

Mutations and (Non-)Euclideaness in oriented matroids  (2501.12951 - Wilhelmi, 22 Jan 2025) in Concluding remarks, Section concluding remarks